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Heat Transfer
Convection
GATE 2017
Hard

A fluid flows over a heated plate at Tw; bulk temperature T∞. Thermal boundary layer profile: T=Tw+(Tw−T∞)[½(y/δt)³−(3/2)(y/δt)]. The local heat transfer coefficient is

  • Ak/(2δt)
  • Bk/δt
  • (3/2)(k/δt)
  • D2(k/δt)

Explanation

q''=−k(∂T/∂y)|y=0=3k(Tw−T∞)/(2δt). h=q''/(Tw−T∞)=(3/2)(k/δt).

Source: GATE CH 2017 (2017)

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